Acronym stohix
Name octagram - hexateron duoprism
Circumradius sqrt[(17-6 sqrt(2))/12] = 0.842354
Confer
more general:
n,hix-dip  

As abstract polytope stohix is isomorphic to ohix, thereby replacing octagrams by octagons, resp. stop by op, resp. stotet by otet, resp. stopen by open.


Incidence matrix according to Dynkin symbol

x3o3o3o3o x4/3x

. . . . . .   . | 48 |   5  1  1 |  10  5  5 1 |  10 10 10  5 |  5 10 10 10 | 1  5  5 10 | 1 1 5
----------------+----+-----------+-------------+--------------+-------------+------------+------
x . . . . .   . |  2 | 120  *  * |   4  1  1 0 |   6  4  4  1 |  4  6  6  4 | 1  4  4  6 | 1 1 4
. . . . . x   . |  2 |   * 24  * |   0  5  0 1 |   0 10  0  5 |  0 10  0 10 | 0  5  0 10 | 1 0 5
. . . . . .   x |  2 |   *  * 24 |   0  0  5 1 |   0  0 10  5 |  0  0 10 10 | 0  0  5 10 | 0 1 5
----------------+----+-----------+-------------+--------------+-------------+------------+------
x3o . . . .   . |  3 |   3  0  0 | 160  *  * * |   3  1  1  0 |  3  3  3  1 | 1  3  3  3 | 1 1 3
x . . . . x   . |  4 |   2  2  0 |   * 60  * * |   0  4  0  1 |  0  6  0  4 | 0  4  0  6 | 1 0 4
x . . . . .   x |  4 |   2  0  2 |   *  * 60 * |   0  0  4  1 |  0  0  6  4 | 0  0  4  6 | 0 1 4
. . . . . x4/3x |  8 |   0  4  4 |   *  *  * 6    0  0  0  5 |  0  0  0 10 | 0  0  0 10 | 0 0 5
----------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o . . .   .   4 |   6  0  0 |   4  0  0 0 | 120  *  *  * |  2  1  1  0 | 1  2  2  1 | 1 1 2
x3o . . . x   .   6 |   6  3  0 |   2  3  0 0 |   * 80  *  * |  0  3  0  1 | 0  3  0  3 | 1 0 3
x3o . . . .   x   6 |   6  0  3 |   2  0  3 0 |   *  * 80  * |  0  0  3  1 | 0  0  3  3 | 0 1 3
x . . . . x4/3x  16 |   8  8  8 |   0  4  4 2 |   *  *  * 15   0  0  0  4 | 0  0  0  6 | 0 0 4
----------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o3o . .   .   5 |  10  0  0 |  10  0  0 0 |   5  0  0  0 | 48  *  *  * | 1  1  1  0 | 1 1 1
x3o3o . . x   .   8 |  12  4  0 |   8  6  0 0 |   2  4  0  0 |  * 60  *  * | 0  2  0  1 | 1 0 2
x3o3o . . .   x   8 |  12  0  4 |   8  0  6 0 |   2  0  4  0 |  *  * 60  * | 0  0  2  1 | 0 1 2
x3o . . . x4/3x  24 |  24 12 12 |   8 12 12 3 |   0  4  4  3 |  *  *  * 20 | 0  0  0  3 | 0 0 3
----------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o3o3o .   .   6 |  15  0  0 |  20  0  0 0 |  15  0  0  0 |  6  0  0  0 | 8  *  *  * | 1 1 0
x3o3o3o . x   .  10 |  20  5  0 |  20 10  0 0 |  10 10  0  0 |  2  5  0  0 | * 24  *  * | 1 0 1
x3o3o3o . .   x  10 |  20  0  5 |  20  0 10 0 |  10  0 10  0 |  2  0  5  0 | *  * 24  * | 0 1 1
x3o3o . . x4/3x  32 |  48 16 16 |  32 24 24 4 |   8 16 16  6 |  0  4  4  4 | *  *  * 15 | 0 0 2
----------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o3o3o x   .  12 |  30  6  0 |  40 15  0 0 |  30 20  0  0 | 12 15  0  0 | 2  6  0  0 | 4 * *
x3o3o3o3o .   x  12 |  30  0  6 |  40  0 15 0 |  30  0 20  0 | 12  0 15  0 | 2  0  6  0 | * 4 *
x3o3o3o . x4/3x  40 |  80 20 20 |  80 40 40 5 |  40 40 40 10 |  8 20 20 10 | 0  4  4  5 | * * 6

ox3oo3oo3oo xx4/3xx&#x   → height = sqrt(3/5) = 0.774597
({8/3} || stopen)

...

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